A particle moving in the positive X direction has de Broglie wavelength λ$$1$$. Another particle also moving in the same direction has de Broglie wavelength λ$$2$$. The two particles make a collision and after the collision they move together as a single particle. The de Broglie wavelength of this single particle is given by

Question

A particle moving in the positive X direction has de Broglie wavelength λ$$1$$. Another particle also moving in the same direction has de Broglie wavelength λ$$2$$. The two particles make a collision and after the collision they move together as a single particle. The de Broglie wavelength of this single particle is given by

Infinity Learn · Accepted Answer

λ$$1$$ $$=hp1$$     $$p1$$ $$=h$$λ$$1$$       similarly $$p2=$$ hλ$$2$$ after collision p $$=p1$$  $$+$$ $$p2$$ λ $$=hp$$ $$=$$λ$$1$$λ$$2$$λ$$1+$$λ$$2$$

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